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Finding the Fourth Proportional to 196.38, 270.77 and 141.09

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Solution

The fourth proportional to 196.38, 270.77 and 141.09 is: 194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.38 : 270.77 = 141.09 : x
  2. Step 2: Convert to fraction form
    196.38/270.77 = 141.09/x
  3. Step 3: Cross multiply
    196.38x = 270.77 × 141.09
  4. Step 4: Simplify right side
    196.38x = 38,202.23
  5. Step 5: Solve for x
    x = 38,202.23/196.38
  6. Step 6: Final answer
    x = 194.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.